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Finding the Fourth Proportional to 30,762.75, 46,148.58 and 9,695.67

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Solution

The fourth proportional to 30,762.75, 46,148.58 and 9,695.67 is: 14,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.75 : 46,148.58 = 9,695.67 : x
  2. Step 2: Convert to fraction form
    30,762.75/46,148.58 = 9,695.67/x
  3. Step 3: Cross multiply
    30,762.75x = 46,148.58 × 9,695.67
  4. Step 4: Simplify right side
    30,762.75x = 447,441,402.65
  5. Step 5: Solve for x
    x = 447,441,402.65/30,762.75
  6. Step 6: Final answer
    x = 14,544.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.